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Finding the Third Proportional to 161,184.94 and 346,156.03

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Solution

The third proportional to 161,184.94 and 346,156.03 is: 743,394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,184.94 : 346,156.03 = 346,156.03 : x
  2. Step 2: Convert to fraction form
    161,184.94/346,156.03 = 346,156.03/x
  3. Step 3: Cross multiply
    161,184.94x = 346,156.03 × 346,156.03
  4. Step 4: Simplify right side
    161,184.94x = 119,823,997,970.75
  5. Step 5: Solve for x
    x = 119,823,997,970.75/161,184.94
  6. Step 6: Final answer
    x = 743,394.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.